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Finding the Fourth Proportional to 11,461.53, 15,818.03 and 6,425.76

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Solution

The fourth proportional to 11,461.53, 15,818.03 and 6,425.76 is: 8,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.53 : 15,818.03 = 6,425.76 : x
  2. Step 2: Convert to fraction form
    11,461.53/15,818.03 = 6,425.76/x
  3. Step 3: Cross multiply
    11,461.53x = 15,818.03 × 6,425.76
  4. Step 4: Simplify right side
    11,461.53x = 101,642,864.45
  5. Step 5: Solve for x
    x = 101,642,864.45/11,461.53
  6. Step 6: Final answer
    x = 8,868.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.